@stdlib/stats-base-dists-binomial-quantile v0.2.1
Quantile Function
Binomial distribution quantile function.
The quantile function for a binomial random variable returns, for any r
satisfying 0 <= r <= 1
, the value x
for which the relation
holds, where F
is the cumulative distribution function (CDF) of a binomial random variable, n
is the number of trials, and 0 <= p <= 1
is the success probability.
Installation
npm install @stdlib/stats-base-dists-binomial-quantile
Usage
var quantile = require( '@stdlib/stats-base-dists-binomial-quantile' );
quantile( r, n, p )
Evaluates the quantile function for a binomial distribution with number of trials n
and success probability p
at value r
.
var y = quantile( 0.4, 20, 0.2 );
// returns 3
y = quantile( 0.8, 20, 0.2 );
// returns 5
y = quantile( 0.5, 10, 0.4 );
// returns 4
y = quantile( 0.0, 10, 0.4 );
// returns 0
y = quantile( 1.0, 10, 0.4 );
// returns 10
If provided NaN
as any argument, the function returns NaN
.
var y = quantile( NaN, 20, 0.5 );
// returns NaN
y = quantile( 0.2, NaN, 0.5 );
// returns NaN
y = quantile( 0.2, 20, NaN );
// returns NaN
If provided a number of trials n
which is not a nonnegative integer, the function returns NaN
.
var y = quantile( 0.5, 1.5, 0.5 );
// returns NaN
y = quantile( 0.5, -2.0, 0.5 );
// returns NaN
If provided a success probability p
outside of [0,1]
, the function returns NaN
.
var y = quantile( 0.5, 20, -1.0 );
// returns NaN
y = quantile( 0.5, 20, 1.5 );
// returns NaN
quantile.factory( n, p )
Returns a function for evaluating the quantile function of a binomial distribution with number of trials n
and success probability p
.
var myquantile = quantile.factory( 10, 0.5 );
var y = myquantile( 0.1 );
// returns 3
y = myquantile( 0.9 );
// returns 7
Examples
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var quantile = require( '@stdlib/stats-base-dists-binomial-quantile' );
var r;
var i;
var n;
var p;
var y;
for ( i = 0; i < 10; i++ ) {
r = randu();
n = round( randu() * 100.0 );
p = randu();
y = quantile( r, n, p );
console.log( 'r: %d, n: %d, p: %d, Q(r;n,p): %d', r.toFixed( 4 ), n, p.toFixed( 4 ) );
}
Notice
This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2024. The Stdlib Authors.